The data below show the scores of the math exam and English exam of 20 students.Math ExamEnglish Exam707445502630847023308880758599100100100100402030466542457480566012206565808066758795The least squares regression line to predict the math exam scores was calculated:Math score = 3.45+0.933*English score1-A student got 45 in his English exam. Knowing that the residual is equal to 4.565, whatis hisexact math exam score?2-GivenThe typical deviation about (English score = 17.84 + 0.729*Math score) is 14.3, and thetypicaldeviation about (Math score = 3.45+0.933*English score) is 16.22.Considering both se and r2, which equation is more useful to predict the marks? Why.

1. From the given information, The least squares regression line is Math score=3.45+0.933*English…

The data below show the scores of the math exam and English exam of 20 students. Math Exam English Exam 70 74 45 50 26 30 84 70 23 30 88 80 75 85 99 100 100 100 100 40 20 30 46 65 42 45 74 80 56 60 12 20 65 65

The data below show the scores of the math exam and English exam of 20 students. Math Exam English Exam 70 74 45 50 26 30 84 70 23 30 88 80 75 85 99 100 100 100 100 40 20 30 46 65 42 45 74 80 56 60 12 20 65 65

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.4: Mathematical Models And Least Squares Analysis

Problem 39E

See similar textbooks

Related questions

Q: From the list of test scores of 19 students. Find the inter-quartile range 36 45 49 53 55 56 59 61…

A: Given : 36 , 45 , 49 , 53 , 55 , 56 , 59 , 61 , 62 , 72 , 65 , 67 , 77 , 80 81 , 85 , 91 , 94 , 96…

Q: he test scores of 40 students are listed below. Construct a boxplot for the data set. 25 35 43 44…

A: From given data, Population size: 40Median: 72Minimum: 25Maximum: 98First quartile: 57.5Third…

Q: The table shows the number of days on the market for the 36 recent home sales in the city of Sonando…

A: a The frequency distribution of given data is as follows:

Q: In a class of applied statistics course, 60 students are sit for the final exam and hence their…

A: Note, Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…

Q: The test scores of 40 students are listed below. Find P56- 30 35 43 44 47 48 54 55 56 57 59 62 63 65…

A: The test scores of 40 students are given. Since there are 40 Scores, and P56 is the point below…

Q: The following are the scores of 40 students on a biology test: 72 65 91 87 73 84 85 100 87 70 58 84…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: The following data represent glucose blood levels (mg/100 ml) after a 12-hour fast for a random…

A: (a) Obtain the class width. The class width is obtained below as follows: From the given…

Q: A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum…

Q: The table below shows the scores of a group of students on a 10-point quiz. Test Score Frequency 1 4…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Q: A sample of rental cars showed the following annual mileage (in thousands of miles) 46.768 34.813…

A: Sample mean : x¯ =∑xn

Q: The table below shows data for a class's mid-term and final exams Mid-Term Final 96 100 95 85 92 85…

Q: Following are the published weights (in pounds) of all of the team members of Football Team A from a…

A: Using the excel formula "=AVERAGE(A2:A54)" the population mean of the given data is 236.56 Using the…

Q: The test scores of 19 students are listed below. Find the 7th decile. 36 45 49 53 55 56 59 61 62 65…

A: Calculate Deciles-7 from the following data36,45,49,53,55,56,59,61,62,65,67,72,77,80,81,85,91,94,96

Q: Find the point estimate of the population parameter μ for the following data. Scores in a…

Q: The table below shows the study time and test scores for a number of students. Study Time(min) 10 15…

A: Since, you have posted a question with multiple sub-parts, we have provided answer for first 3…

Q: The following data show the yearly salaries of football coaches at some state supported universites…

A: Given yearly salary of football coaches at some universities, State salary(x) A 53 B 44 C…

Q: Assessment 1. Consider the scores of 30 students in an English class. 88 73 62 53 74 84 78 81 86 81…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A statistics class with 60 students were given an examination and the results are shown below. 88 47…

A: First we arrange the data set in ascending order so it would be easy to count the frequencies for…

Q: The following tables lists the exam scores from an English class and a Chemistry class. A particular…

A: Here the English Exam scores are x=(75 76 78 78 80 80 80 80 81 81 84 85 8585 86 86 88 90 90 91 92…

Q: The following data represent the energy consumption of coal (in billions of Btu) by each of the 50…

A: 613 723 267 60 372 15 19 92 306 38 413 8 736 156 478 264 1015 329…

Q: The following table shows the weights of nine subjects before and after following a particular diet…

Q: sample of rental cars showed the following annual mileage (in thousands of miles) 46.768 34.813…

Q: The accompanying table shows movie attendance data collected by an agency during the period 2012 to…

A: CE.40 Part d: Percent of admissions in 2016 bought by people 60 years or older = 1311317×100 = 9.9%…

Q: The data set below represents the ages of 36 executives. Find the percentile that corresponds to an…

A: From the given data: n=36 number of values below 62=30

Q: Have you ever noticed, when watching a National Hockey League (NHL) game, that the players spend a…

Q: The following table shows the average U.S. movie theatre ticket prices for the years from 1985 to…

A: Given: A=x: x is a year in the table for which the average ticket price was greater than $3.70 but…

Q: The test scores of 30 students are listed below. Find P81 31 41 45 48 52 55 56 56 63 65 67 67 69 70…

A: The data are given, first we arrange the data into ascending order,

Q: The test scores of 19 students are listed below. Find the 7th decile. * 36 45 49 53 55 56 59 61 62…

Q: The given table shows the scores of representative students of three sections in a Science exam. A:…

A: This is a one way ANOVA problem. H0: There is no difference in mean science examination score of the…

Q: The test scores of 40 students are listed below. Find P56. 30 35 43 44 47 48 54 55 56 57 62 63 65 66…

A: Note: If "L" is a whole number, then the value of the kth percentile is the midway between Lth…

Q: The highest temperatures ever recorded (in °F) in 32 different U.S. states are shown below.…

A: Given: 100 109 115 118 100 110 115 119 105 110 116 120 105 112 117…

Q: The data below gives information regarding ACT scores for the applicants to a particular university…

A: Calculate the number of applicants with ACT score 25 or above who are not admitted by looking at the…

Q: The table shows data about student involvement in extracurricular activities at a local high school.…

Q: The Pew Research Center conducted a survey of randomly sampled American adults, asking them about…

A: Given values, Male Female Total Every day 77 142 219 3 to 5 days/week 39 54 93 1 to 2…

Q: Estimate the number of students who get more than 48 but not more than 50 marks from the following…

Q: The following table presents the intelligence quotients of runaway boys. Intelligence Quotient…

A: Given that We have to find the what the data tell about the IQ of runways boys

Q: Here are the scores on the first exam in an introductory statistics course for 10 students. 83 74…

A: Given data, 83 74 93 85 75 97 93 55 92 81 To find, The quartiles for these first…

Q: The following data show the weights (in pounds) of 20 students in a class. Find the mean. 149.23…

A: We will find out the required mean.

Q: The following data relate sizes of the shoes sold at a store during a Number of pairs Size of shoes…

Q: The table below shows the scores of a group of students on a 10-point quiz. Test Score Frequency 3 3…

A: Formula : Mean = fx Median : it is the middle number.

Q: A) In a class of applied statistics course, 60 students are sit for the final exam and hence their…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The data below are the final exam scores of 10 randomly selected history students and the number of…

A: total student 10

Q: The data below represents the life expectancy for some African and Asian countries. Construct a…

A: Introduction - Histogram - A histogram is a graphical representation that organizes a group of data…

Q: Find the third quartile Q3 of the list of 24 sorted values shown below. 30 31 32 40 43 43…

A: Given data, 30 31 32 40 43 43 46 48 48 52 52 53 55 55 60 62 63 63…

Q: The chart shows the number of hours that 25 students in a 1st-period class slept on Monday night.…

A: Solution : Given : Number of hours that 25 students in a 1st period class slept on Monday night. For…

Q: You are interested in investigating whether the type of computer a person primarily uses and the…

A: It is needed to test, whether the type of computer a person primarily uses and the type of car they…

Q: sample of rental cars showed the following annual mileage (in thousands of miles) 46.768 34.813…

Q: The following data reflect the frequency with which people voted in the last election and were…

A: Chi-square test for independence.

Q: A)In a class of applied statistics course, 60 students are sit for the final exam and hence their…

A: Hii ! Thanks for posting the question . Since your question has more than three subparts , we have…

Q: The data below shows the number jobs that a sample of people had in their life time: 8 8 12 12 | 12…

A: The data set is given below: 8, 8, 12, 12, 12, 12, 13, 14, 15, 15 (a) The given data is…

Question

The data below show the scores of the math exam and English exam of 20 students.
Math Exam
English Exam
70
74
45
50
26
30
84
70
23
30
88
80
75
85
99
100
100
100
100
40
20
30
46
65
42
45
74
80
56
60
12
20
65
65
80
80
66
75
87
95
The least squares regression line to predict the math exam scores was calculated:
Math score = 3.45+0.933*English score
1-A student got 45 in his English exam. Knowing that the residual is equal to 4.565, what
is his
exact math exam score?
2-
Given
The typical deviation about (English score = 17.84 + 0.729*Math score) is 14.3, and the
typical
deviation about (Math score = 3.45+0.933*English score) is 16.22.
Considering both se and r2, which equation is more useful to predict the marks? Why.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Research Ethics$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Recommended textbooks for you

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:

9781305658004

Author:

Ron Larson

Publisher:

Cengage Learning